Points off a rolling wheel make traces. What makes those traces
In the diagram the point P' can move to different places along the
dotted line. Each position P' takes will fix a corresponding
position for P. If P' moves along a straight line what does P do ?
A cheap and simple toy with lots of mathematics. Can you interpret
the images that are produced? Can you predict the pattern that will
be produced using different wheels?
Choose positions for P and plot the corresponding positions of
Do enough until you see something nice happening then figure out
why that has to happen.
You will certainly want to have looked at The Line and its Strange Pair to help
you into this.